101020120181 has 2 divisors, whose sum is σ = 101020120182. Its totient is φ = 101020120180.

The previous prime is 101020120171. The next prime is 101020120217. The reversal of 101020120181 is 181021020101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 63436481956 + 37583638225 = 251866^2 + 193865^2 .

It is a cyclic number.

It is not a de Polignac number, because 101020120181 - 2¹⁰ = 101020119157 is a prime.

It is a super-3 number, since 3×101020120181³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (101020120111) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50510060090 + 50510060091.

It is an arithmetic number, because the mean of its divisors is an integer number (50510060091).

Almost surely, 2^101020120181 is an apocalyptic number.

It is an amenable number.

101020120181 is a deficient number, since it is larger than the sum of its proper divisors (1).

101020120181 is an equidigital number, since it uses as much as digits as its factorization.

101020120181 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 101020120181 its reverse (181021020101), we get a palindrome (282041140282).

The spelling of 101020120181 in words is "one hundred one billion, twenty million, one hundred twenty thousand, one hundred eighty-one".